Modeling the dynamics of novel coronavirus (2019-nCov) with fractional derivative
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In this paper, the authors describe the mathematical modeling and dynamics of a novel corona virus (2019-nCoV) and present the mathematical results of the model and then formulate a fractional model.Citations
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Modelling the spread of COVID-19 with new fractal-fractional operators: Can the lockdown save mankind before vaccination?
Abdon Atangana,Abdon Atangana +1 more
TL;DR: A mathematical model was suggested taking into account the possibility of transmission of COVID-19 from dead bodies to humans and the effect of lock-down, and it is shown that ifLock-down recommendations are observed the threat of CO VID-19 can be reduced to zero in few months.
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Modeling and forecasting the COVID-19 pandemic in India
TL;DR: The model simulations demonstrate that the elimination of ongoing SARS-CoV-2 pandemic is possible by combining the restrictive social distancing and contact tracing, and results reveal that achieving a reduction in the contact rate between uninfected and infected individuals by quarantined the susceptible individuals, can effectively reduce the basic reproduction number.
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A mathematical model for COVID-19 transmission by using the Caputo fractional derivative
TL;DR: In this article, the authors presented a mathematical model for the transmission of COVID-19 by the Caputo fractional-order derivative and calculated the equilibrium points and reproduction number for the model and obtained the region of the feasibility of system.
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A modified SEIR model to predict the COVID-19 outbreak in Spain and Italy: simulating control scenarios and multi-scale epidemics.
Leonardo López,Xavier Rodó +1 more
TL;DR: In this paper, a modified SEIR compartmental model accounting for the spread of infection during the latent period, in which they also incorporate effects of varying proportions of containment, was applied to evaluate the confinement rate at the first stages of the epidemic outbreak in order to assess the scenarios that minimize the incidence but also the mortality.
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Simulating the spread of COVID-19 via a spatially-resolved susceptible–exposed–infected–recovered–deceased (SEIRD) model with heterogeneous diffusion
Alex Viguerie,Guillermo Lorenzo,Ferdinando Auricchio,Davide Baroli,Thomas J. R. Hughes,Alessia Patton,Alessandro Reali,Thomas E. Yankeelov,Alessandro Veneziani +8 more
TL;DR: It is argued that data-driven simulations of a Susceptible-Exposed-Infected-Recovered-Deceased (SEIRD) mathematical model could ultimately inform health authorities to design effective pandemic-arresting measures and anticipate the geographical allocation of crucial medical resources.
References
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Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
TL;DR: A precise definition of the basic reproduction number, R0, is presented for a general compartmental disease transmission model based on a system of ordinary differential equations and it is shown that, if R0<1, then the disease free equilibrium is locally asymptotically stable; whereas if R 0>1,Then it is unstable.
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New numerical approximation of fractional derivative with non-local and non-singular kernel: Application to chaotic models
Mekkaoui Toufik,Abdon Atangana +1 more
TL;DR: In this paper, a new numerical scheme has been developed for the newly established fractional differentiation with non-local and non-singular kernel was introduced in order to extend the limitations of the conventional Riemann-Liouville and Caputo fractional derivatives.
Journal ArticleDOI
A new application of fractional Atangana–Baleanu derivatives: Designing ABC-fractional masks in image processing
TL;DR: The obtained experimental results show that the proposed fractional masks are computationally efficient, and their performances are compatible with other standard and fractional smoothing filters.
Journal ArticleDOI
Modeling the mechanics of viral kinetics under immune control during primary infection of HIV-1 with treatment in fractional order
TL;DR: In this article, a fractional order model of viral kinetics for primary infection of HIV-1 in presence of immune control with treatment, as the classical model of target-cell-limited model is unable to predict long term virus kinetics unless a delayed immune effect is assumed, the reverse transcriptase treatment can be incorporated by reducing the target cell infection rate.
Journal ArticleDOI
A new fractional model for tuberculosis with relapse via Atangana-Baleanu derivative
TL;DR: In this paper, a new fractional order epidemic model for the tuberculosis (TB) disease with relapse using Atangana-Baleanu derivative is formulated and the basic reproduction number of the model is investigated using next generation technique.
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